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Finding the Third Proportional to 610,180 and 933,430

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Solution

The third proportional to 610,180 and 933,430 is: 1,427,925.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,180 : 933,430 = 933,430 : x
  2. Step 2: Convert to fraction form
    610,180/933,430 = 933,430/x
  3. Step 3: Cross multiply
    610,180x = 933,430 × 933,430
  4. Step 4: Simplify right side
    610,180x = 871,291,564,900
  5. Step 5: Solve for x
    x = 871,291,564,900/610,180
  6. Step 6: Final answer
    x = 1,427,925.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.